Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter = 20 suggested in the article "Dynamic Ride Sharing: Theory and Practice"). (Round your answer to three decimal places.) (a) What is the probability that the number of drivers will be at most 15? (b) What is the probability that the number of drivers will exceed 29? (c) What is the probability that the number of drivers will be between 15 and 29, inclusive? What is the probability that the number of drivers will be strictly between 15 and 29? (d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value? 0.967 4

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20
(suggested in the article "Dynamic Ride Sharing: Theory and Practice"+). (Round your answer to three decimal places.)
(a) What is the probability that the number of drivers will be at most 15?
(b) What is the probability that the number of drivers will exceed 29?
(c) What is the probability that the number of drivers will be between 15 and 29, inclusive?
What is the probability that the number of drivers will be strictly between 15 and 29?
(d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value?
0.967
X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"+). (Round your answer to three decimal places.) (a) What is the probability that the number of drivers will be at most 15? (b) What is the probability that the number of drivers will exceed 29? (c) What is the probability that the number of drivers will be between 15 and 29, inclusive? What is the probability that the number of drivers will be strictly between 15 and 29? (d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value? 0.967 X You may need to use the appropriate table in the Appendix of Tables to answer this question.
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